English

2-colored Rogers-Ramanujan partition identities

Combinatorics 2022-03-30 v1

Abstract

In this paper, we combined two types of partitions and introduced 2-colored Rogers-Ramanujan partitions. By finding some functional equations and using a constructive method, some identities have been found. Some Overpartition identities coincide with our findings. A correspondence between colored partitions and overpartitions is provided.

Keywords

Cite

@article{arxiv.2203.15378,
  title  = {2-colored Rogers-Ramanujan partition identities},
  author = {Mohammad Zadeh Dabbagh},
  journal= {arXiv preprint arXiv:2203.15378},
  year   = {2022}
}
R2 v1 2026-06-24T10:29:46.089Z